Consider the discrete probability distribution below. Complete parts and to the right Outcome Probability 0.26 035 2 0.00 0.00 0 1 a. Calcutate the mean of this distibution - Type an integer or a decimal) b. Calculate the standard deviation of this distribution 0.18 3 4 5 6 0.04 0.02 (Round to three decimal places as needed.)

  The ant's entire distance travelled along its semicircular journey is its total distance travelled overall. The ant is travelling around a circle with radius R, thus the distance it has travelled is equal to half of the circle's circumference, πR.

The change in the ant's position is represented by a vector quantity called the displacement of the ant. The ant in this scenario begins at one end of the semi-circular path and moves 2R away from the beginning point to reach the other end. The direction of the displacement vector is from the starting point to the ending point, and the displacement's magnitude is equal to the 2R distance between the two points.

    So, the option c is most suitable option.

Therefore, πR and 2R are the ant's displacement and the distance travelled, respectively.

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Answer:

it is given that diagram shows part of the Wheel of Theodorus. graphics for exercise 20 page 428 geometry part (a). It is required to identify which ...

Step-by-step explanation:

Answer:

Let's simplify the given expression:

3(X-3) + 2(3-X) = 3X - 9 + 6 - 2X (distributing the coefficients)

= X - 3 (combining like terms)

Therefore, the equivalent algebraic expression is option C) X-3.

Answer: $146.25

Step-by-step explanation:

To solve the question, we need to first calculate the number of hours between 7 AM to 2 P.M which is 7 hours but we are told that there is a 30 minutes break. Therefore, he works for 6 hours 30 minutes which is 6 1/2 hours.

She's paid $4.50 pee hour, therefore the amount paid per day will be:

= 6 1/2 × $4.50

= 6.50 × $4.50

= $29.25

The amount that she'll make in 5 days will be:

= $29.25 × 5

= $146.25

The solution to the equation 3X - 2[-1 5 7 0] = [17 -13 -7 0] is X = [5 0 0 0]

To solve the equation 3X - 2[-1 5 7 0] = [17 -13 -7 0], we can proceed as follows:

First, distribute the scalar 2 to the matrix [-1 5 7 0], resulting in [-2 10 14 0]. The equation now becomes:

3X - [-2 10 14 0] = [17 -13 -7 0]

Simplifying further, we can rewrite the equation as:

3X + [2 -10 -14 0] = [17 -13 -7 0]

Next, we can add the matrices on both sides of the equation:

[3X + 2 -10 -14 0] = [17 -13 -7 0]

Now, equate the corresponding entries on both sides:

3X + 2 = 17

-10X -13 = -13

-14X - 7 = -7

0X + 0 = 0

Solving these equations individually, we find:

3X = 17 - 2

3X = 15

X = 15/3

X = 5

-10X = -13 - (-13)

-10X = 0

X = 0/-10

X = 0

-14X = -7 - (-7)

-14X = 0

X = 0/-14

X = 0

0X = 0

Therefore, the solution to the equation 3X - 2[-1 5 7 0] = [17 -13 -7 0] is:

X = [5 0 0 0]

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The value of the integral will be \(\int \int\vec F.\vec s=\dfrac{1024 \pi}{3}\).

Given the vector field F = xy + 4y + xzk and the surface S described by x² + y² + 2² = 16.

To evaluate the surface integral S(F · ds), we need to find the dot product between the vector field F and the surface normal vector ds, and then integrate it over the surface S.

The surface integral can be written as:

∫∫S(F · ds)

Using the divergence theorem, we can convert the surface integral into a volume integral by taking the divergence of the vector field F:

∫∫S(F · ds) = ∫∫∫V(div F) dV

The divergence of the vector field F is given by:

div F = ∇ · F = (∂/∂x, ∂/∂y, ∂/∂z) · (xy + 4y + xzk)

Evaluating the partial derivatives and simplifying:

div F = (∂/∂x(xy + 4y + xzk)) + (∂/∂y(xy + 4y + xzk)) + (∂/∂z(xy + 4y + xzk))

= (y + z) + (x + 4) + 0

= x + y + z + 4

Now, we have converted the surface integral into a volume integral:

∫∫S(F · ds) = ∫∫∫V(x + y + z + 4) dV

The limits are 0 to π and 0 to 4. After integration, the value of the integral will be \(\int \int\vec F.\vec s=\dfrac{1024 \pi}{3}\).

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Answer:

The answers is root 73.

Process is shown in the picture.

Answer:

Step-by-step explanation:

\(7^{2} +x^{2} =24^{2} \\49+x^{2} =576\\x^{2} =418\\x=\sqrt{418}\)

Answer:

No, the ribbon would not be long enough to go around the edge of the cake.

Circumference ≈ 81.7 cm

Step-by-step explanation:

1) Calculate the circumference of the cake

Circumference - the length around a circle

\(C=2\pi r\) where r is the radius

Plug 13 in as the radius

\(C=2\pi (13)\\C=26\pi\\C= 81.7\)

Therefore, the circumference of the cake is approximately 81.7 cm.

Because the ribbon is only 36 cm long, it would not be enough to go around the edge of the cake.

I hope this helps!

To determine the critical value for testing the correlation between number of beers and BAC, we need to use a statistical table for correlation coefficients. With a sample size of greater than 30 and a significance level of .05, the critical value for a two-tailed test is 0.312.

To determine whether the correlation is significant, we need to compare the calculated correlation coefficient (0.894) with the critical value (0.312). Since the calculated correlation coefficient is greater than the critical value, we can reject the null hypothesis that the correlation is not significant at the .05 level. Therefore, the correlation between number of beers and BAC is significant.
In conclusion, the critical value for testing if the correlation is significant at .05 is 0.312, and the correlation between number of beers and BAC is significant (yes).

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The variables on the horizontal and vertical axes of a scatter plot are always continuous.Corresponding: When two sets of data are plotted on a scatter plot, each data point in the two sets has a corresponding point in the other set.

When you plot two sets of data on a scatter plot, you should use different colors or symbols for the data points from each set.The horizontal axis represents one variable while the vertical axis represents the other. Each point on the graph represents one set of data that corresponds to both variables, with the x-value and y-value corresponding to the respective data points being plotted.Scatterplot versus: A scatter plot has two axes that correspond to two variables. In a scatter plot, we can determine how one variable changes as the other variable changes. The variables on the horizontal and vertical axes of a scatter plot are always continuous.Corresponding: When two sets of data are plotted on a scatter plot, each data point in the two sets has a corresponding point in the other set. When you plot two sets of data on a scatter plot, you should use different colors or symbols for the data points from each set.

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The amounts for the other three partners are $25000, $100000, and $200000.

The amount that the other people will share will be:

= $400000 - $50000

= $350000

Therefore this will be divided as follows:

A = 2/(2+4+8) × $350000

= 2/14 × $350000

= $25000

B = 4/14 × $350000

= $100000

C = 8/14 × $350000

= $200000

Therefore, the amounts for the other three partners are $25000, $100000, and $200000.

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The table of probabilities for K given that N=2 is:\(P(K=0) = 0.25P(K=1) = 0.5P(K=2) = 0.25\)

In an experiment, a fair four-sided die (its faces are labeled 0, 1, 2, 3) is thrown once. The outcome of the throw determines how many times a fair coin is to be flipped: if N is the number that results from throwing the die, we flip the coin N times. Let K be the total number of heads resulting from the coin flips. Suppose the die roll results in a 2. What form does the conditional distribution of distribution along with its parameters calculated the probabilities in the table a) K have given that N-2?The conditional distribution of K given that N=2 is a binomial distribution with parameters n=2 and p=0.5.

This is because if N is the result of the die roll and N=2, we flip the coin twice. Each flip of the coin is a Bernoulli trial with a probability of success (heads) of 0.5. Since there are two independent flips, the total number of heads K follows a binomial distribution with parameters n=2 and p=0.5.

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The expression that is equivalent to √17 is √(68)/2

From the question, we have the following parameters that can be used in our computation:

Expression = √17

Multiply the expression by 1

so, we have the following representation

Expression = √17 * 1

Express 1 as 2/2

so, we have the following representation

Expression = √17 * 2/2

The square root of 4 is 2

So, we have

Expression = √(17 * 4)/2

Evaluate the products

Expression = √(68)/2

Hence, the expression that is equivalent to √17 is √(68)/2

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Answer:

I took the test

Step-by-step explanation:

The expression for the difference of two linear functions is (f - g)(x) = 4x - 6.

A linear function is a type of function in mathematics that has the form f(x) = mx + b, where x is the independent variable, f(x) is the dependent variable, m is the slope of the line, and b is the y-intercept.

To find the expression for the difference of two linear functions, f(x) and g(x), denoted by (f - g)(x).

The expression for (f - g)(x) can be found by subtracting g(x) from f(x):

(f - g)(x) = f(x) - g(x)

Substituting the given functions f(x) = x - 2 and g(x) = -3x + 4, we get:

(f - g)(x) = f(x) - g(x)

= (x - 2) - (-3x + 4) [Substitute the given values of f(x) and g(x)]

= x - 2 + 3x - 4 [Distribute the negative sign in front of (-3x + 4)]

= 4x - 6 [Combine like terms]

Therefore, (f - g)(x) = 4x - 6.

Option D (-3x² - 2x - 8) is incorrect as it involves squaring a linear expression, which would result in a quadratic expression. Option A (which has no operation between 3 and 22) is not a valid expression. Option B (-3x - 8) and C (3x3x22 or 198) do not take into account the fact that each sundae can be made using one of 3 syrups and one of 3 candy toppings.

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Answer: 267.7

I just did the math and I got this answer

The transformations that occur in function g(x) as it relates to the graph of f(x) = x² are option B and C

In the given function, the only transformations that occur in the function g(x) as it relates to f(x) are B and C.

In option B, the translation down 251.5 units: In the original function f(x) = x², the graph is centered at the origin (0, 0). However, in g(x) = -0.0018 * (x - 251.5)² + 118, the term (x - 251.5) causes a horizontal shift to the right by 251.5 units. This means that the graph of g(x) is shifted to the right compared to the graph of f(x). Since the term is subtracted, it has the effect of shifting the graph downwards by the same amount, hence the translation down 251.5 units.

Likewise, in option C, the translation up 118 units: In the original function f(x) = x², the graph intersects the y-axis at the point (0, 0). However, in g(x) = -0.0018 * (x - 251.5)² + 118, the term 118 is added to the expression. This causes a vertical shift upwards by 118 units compared to the graph of f(x). So, the graph of g(x) is shifted upwards by 118 units.

Therefore, the transformations that occur in g(x) as it relates to the graph of f(x) = x²are a translation down 251.5 units and a translation up 118 units.

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Answer: A veterinarian needs a PhD or a professional degree, while a veterinary technician needs an associate’s degree.

Step-by-step explanation:

             Edge 2020.

The probability that Adam and Betty meet at some point is $1-\frac{1}{16}=\boxed{\frac{15}{16}}$.

To find the probability that Adam and Betty meet while walking on the grid, we can consider their paths. Adam will always move up or right, while Betty will always move down or left. This means that their paths will always be perpendicular, and they will only meet if they intersect at some point.

Let's consider the first minute. Adam can either move up or right, and Betty can either move down or left. There are four possible outcomes: Adam moves up and Betty moves down, Adam moves up and Betty moves left, Adam moves right and Betty moves down, or Adam moves right and Betty moves left.

Out of these four outcomes, only one leads to Adam and Betty meeting: if Adam moves right and Betty moves down, they will meet at the point $(1,3)$. So the probability of them meeting in the first minute is $\frac{1}{4}$.

Now let's consider the second minute. Adam will be one unit away from $(1,3)$, and Betty will be one unit away from $(1,3)$. There are four possible outcomes again, but only one leads to them meeting: if Adam moves up and Betty moves down, they will meet at the point $(1,2)$. So the probability of them meeting in the second minute is $\frac{1}{4}$.

We can continue this process for each minute. At each step, there is only one outcome that leads to them meeting, and the probability of that outcome is $\frac{1}{4}$. So the probability of them meeting after $n$ minutes is $\left(\frac{1}{4}\right)^n$.

Now we need to find the probability that they meet at any point in time. We can do this by taking the complement of the probability that they never meet. The only way they will never meet is if their paths never intersect, which means that Adam always stays to the right of Betty or always stays above Betty.

The probability of this happening is the same as the probability that Adam flips tails $4$ times in a row, or Betty flips heads $2$ times in a row. This probability is $\left(\frac{1}{2}\right)^4=\frac{1}{16}$, since there are $2^4$ possible outcomes for Adam and $2^2$ possible outcomes for Betty.

So the probability that Adam and Betty meet at some point is $1-\frac{1}{16}=\boxed{\frac{15}{16}}$.

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Answer:

x = 12.489996 ft

Step-by-step explanation:

In order to solve one side length of a right triangle given two of other side lengths, you can use the pythagorean theory.

The theory states that the sum of the two adjacent side squares equals the square of the hypotenuse.

Basically:

\(x^2 + y^2 = h^2\)

Since the problem gives you the hypotenuse and one adjacent side length you rearrange the formula as so:

\(x^2 = h^2 - y^2\)

\(x=\sqrt{h^2 - y^2}\)

Then plug in the values:

\(x = \sqrt{16^2 - 10^2} = \sqrt{256-100}=\sqrt{156} = 2\sqrt{39}=12.489996\)

Answer:

110

Step-by-step explanation:

180-70=110

the full line is 180 so subtract the angle, 70.

The corrected statement should look like this:
```java
int[] hours = {8, 12, 16};
```

It looks like you are trying to create an integer array in Java called "hours" and initialize it with the values 8, 12, and 16. The given statement has incorrect syntax.
Declare the integer array using "int[]" followed by the variable name "hours".

This tells the Java compiler that you want to create an array of integers called "hours".
Use the assignment operator "=" to assign values to the array.
Enclose the values you want to assign to the array within curly braces "{" and "}" and separate each value with a comma.
The corrected statement should look like this:
```java
int[] hours = {8, 12, 16};
```
Now, the "hours" integer array is initialized correctly with the given values.

The syntax for declaring and initializing an integer array in Java is:

```java
data Type[] array

Name = {value1, value2, value3, ...};
```
In this case, "data Type" is "int", "array

Name" is "hours", and the values are 8, 12, and 16.
Remember to keep your code clean and concise to avoid syntax errors and make it easier for others to understand.

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Answer:

the answer should be 25 times 25=625, also 12 times 12= 144 625+144=769

Step-by-step explanation:

brainliest??????

Answer:

Answer = -13 or 12

Step-by-step explanation:

let the two numbers be y and y+1

y(y+1)=156

y2 + y -156=0

y2 -12y+13y-156

y(y-12) +13(y-12)

(y+13) (y-12)

y+13=0

y= -13

y-12=0

y=12

The equation of the hyperbola for the cross section of the cooling tower is x²/8100 - y²/9506.25 = 1.

We must take into account its characteristics in order to formulate the hyperbola's equation for the cooling tower's cross section.

Since the origin serves as the hyperbola's centre, its coordinates are (0, 0).

The left/right opening of the hyperbola indicates that the primary axis is horizontal.

The cooling tower's smallest diameter is 180 metres, which is the same length as the minor axis.

The primary axis' 195 m length and the diameter at its highest point are matched.

The hyperbola's highest point is 80 metres above the centre.

These characteristics allow us to write the hyperbola's equation in standard form:

(x - h)²/a² - (y - k)²/b² = 1

Where (h, k) represents the center of the hyperbola.

Substituting the given values:

Center: (h, k) = (0, 0)

Minor axis: 2a = 180 m, so a = 90 m

Major axis: 2b = 195 m, so b = 97.5 m

Vertical shift: c = 80 m

Now we can write the equation of the hyperbola:

x²/90² - y²/97.5² = 1

Simplifying, we have:

x²/8100 - y²/9506.25 = 1

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Solution

For this case the only collection method thats satisfy very well the definition given is:

d. sample survey

An equation that represents the graph of a circle include the following:

In Geometry, the standard form of the equation of a circle is modeled by this mathematical equation;

(x - h)² + (y - k)² = r²

Where:

From the information provided above, we have the following equation of a circle has the only correct answer option:

x² + y² = 9

x² + y² = 3²

Therefore, the center (h, k) is (0, 0) and the radius is equal to 3 units.

Also, we can determine the diameter of this circle;

Diameter = 2r

Diameter = 2(3)

Diameter = 6 units.

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b. <2 ≅ < 3; corresponding angles are equal

d. < 1 + < 2 = 180 degrees; sum of angles on a straight line

To determine the reasons, we need to know about transversals

Transversals are lines that passes through two lines at the given plane in two distinct points.

It intersects two parallel lines

It is important to note the following;

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Yes, the P-value is the probability, assuming H0 is true, of observing a value for the test statistic that is as extreme as or more extreme than the value actually observed.

The p-value is the probability of obtaining a statistic that is more or more extreme than that observed in experiment.

The p-value is calculated assuming the null hypothesis is true. Therefore, the lower the p-value, the stronger the evidence that the null hypothesis is false. That is, the lower the p-value, the stronger the evidence in favor of the alternative hypothesis.

The P-value is the observed test statistic (i.e., the data summary) that is as extreme as or more extreme than the currently observed test statistic under a statistical model that specifically assumes that the hypothesis is being tested. is the probability that It's true.

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Complete question

is the P-value is the probability, assuming H0 is true, of observing a value for the test statistic that is as extreme as or more extreme than the value actually observed.